Main Information
This special session is part of the programme of the
International Workshop on Operator Theory and its Applications (IWOTA 2019)
which will be held at the
Instituto Superior Técnico of University of Lisbon ,
Portugal, 22 - 26 July 2019. The special session takes place on
July 25 and 26 in room
Q4.6
of the Chemistry Building at the Instituto Superior Técnico of University of Lisbon. Directions to the venue of the session and information about the rest of the programme of IWOTA 2019 can be found
here,
where our special session is identified with the
number 22!
Description
This special session focuses on the truncated moment problem for measures supported on finite and
infinite dimensional spaces, aiming to highlight the most recent developments in this active area with
a particular attention to its extraordinary variety of applications. Indeed, one of the most interesting
features of the truncated moment problem is that it naturally arises from many applied questions and at
the same time beautifully connects the most diverse branches of mathematics from functional analysis
to real algebraic geometry, from operator theory to polynomial optimization, from probability to convex
analysis, etc. This session would like to give a glimpse into the richness coming from the interplay of
these different fields and perspectives on the truncated moment problem, providing a ground for further
interactions. The topics of interest will include existence criteria for representing measures, quadrature
formulas, sum-of-squares representations of nonnegative polynomials of bounded degree, flat extensions
of positive moment matrices, Carathéodory numbers, as well as random moment problems, realizability
problems in statical mechanics, applications of the moment-sos hierarchy to optimization problems,
infinite graphs, packing problems, approximation of functional solutions, etc.